Greatest Common Factor of 1207 and 1213

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 1207 and 1213 by prime factorization method
• Greatest Common Factor of 1207 and 1213 by matching factors method

Prime Factorization of 1207

Prime factors of 1207 are 17,71. Prime factorization of 1207 in exponential form is:

1207 = 17¹×71¹

Prime Factorization of 1213

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 1213¹

∴ So by taking common prime factors GCF of 1207 and 1213 is 1

Factors of 1207

List of positive integer factors of 1207 that divides 1207 without a remainder.

1,17,71,1207

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1,1213

Greatest Common Factor

We found the factors and prime factorization of 1207 and 1213. The biggest common factor number is the GCF number.
So the greatest common factor 1207 and 1213 is 1.

Also check out the Least Common Multiple of 1207 and 1213

(i) The GCF of 1207 and 1213 is associative

GCF of 1207 and 1213 = GCF of 1213 and 1207

1. What is the GCF of 1207 and 1213?

Answer: GCF of 1207 and 1213 is 1.

2. What are the Factors of 1207?

Answer: Factors of 1207 are 1, 17, 71, 1207. There are 4 integers that are factors of 1207. The greatest factor of 1207 is 1207.

3. What are the Factors of 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

4. How to Find the GCF of 1207 and 1213?

Answer:

Greatest Common Factor of 1207 and 1213 = 1

Step 1: Find the prime factorization of 1207

1207 = 17 x 71

Step 2: Find the prime factorization of 1213

1213 = 1213

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1207 and 1213 is 1